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Finding the Fourth Proportional to 358,543.92, 537,728.40 and 148,242

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Solution

The fourth proportional to 358,543.92, 537,728.40 and 148,242 is: 222,326.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,543.92 : 537,728.40 = 148,242 : x
  2. Step 2: Convert to fraction form
    358,543.92/537,728.40 = 148,242/x
  3. Step 3: Cross multiply
    358,543.92x = 537,728.40 × 148,242
  4. Step 4: Simplify right side
    358,543.92x = 79,713,933,472.80
  5. Step 5: Solve for x
    x = 79,713,933,472.80/358,543.92
  6. Step 6: Final answer
    x = 222,326.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.